Home / 1,475.25-2,212.63-435.02

Finding the Fourth Proportional to 1,475.25, 2,212.63 and 435.02

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Solution

The fourth proportional to 1,475.25, 2,212.63 and 435.02 is: 652.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.25 : 2,212.63 = 435.02 : x
  2. Step 2: Convert to fraction form
    1,475.25/2,212.63 = 435.02/x
  3. Step 3: Cross multiply
    1,475.25x = 2,212.63 × 435.02
  4. Step 4: Simplify right side
    1,475.25x = 962,541.04
  5. Step 5: Solve for x
    x = 962,541.04/1,475.25
  6. Step 6: Final answer
    x = 652.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.